I was never able to see the Magic Eye stuff either--I'd see a 3D
something for a second but lose it almost immediately. Everyone told me to cross my eyes as I was focusing on the picture, but I could never get my eyes to stay in a crossed position.
In college, I went to the eye doctor because I had been experiencing symptoms of eyestrain. One of the first things he did was have me focus on the point of his pen as he brought it slowly, in a straight line, towards my eyes. My eyes did not cross, and he asked me if I saw one pen or two. I saw two--turns out I have an eye teaming issue called
Convergence Insufficiency. (I'm fortunate that the eyestrain symptoms never affected my schoolwork or reading. The eye doctor laughed when I told him that I was an English major and spent nearly all my time reading as a child.) So because my eyes don't converge properly, it's hard for me to see Magic Eye pictures.
Come to think of it, I think the little card the doctor gave me for exercises is a very basic stereogram. Each side has a small, medium, and large circle, all in a row. One side has red circles, the other has blue. The object is to put the index card near your nose and look down on each circle, trying to see only one instead of two. Then you put the card in front of you so that the edge is only touching your nose, and you're looking at both sides simultaneously. You're supposed to focus so that the red and blue circles are supposed to blend together. It's annoying and makes my eyes water, so I rarely do them and just wear my reading glasses.